Question

What is the x intercept of the line? (-12,14) (-2,21) (8,28)

Answer 1

Answer:

The x-intercept of the line will be at (32,0)

Step-by-step explanation:

The equation of a straight line passing through the two known points $(x_{1},y_{1})$ and $(x_{2},y_{2})$ is given by

$\frac{y - y_{1}}{y_{1} - y_{2}} = \frac{x - x_{1}}{x_{1} - x_{2}}$

Therefore, the equation of the straight line passing through the points (-12,14) and (-2,21) will be  

$\frac{y - 14}{14 - 21} = \frac{x - (- 12)}{- 12 - (- 2)}$

⇒ 10(y - 14) = 7(x + 12)

⇒ 7x - 10y + 224 = 0 .......... (1)

Now, putting y = 0, we will get the x-intercept as 7x = - 224

⇒ x = - 32

Therefore, the x-intercept of the line will be at (- 32,0) (Answer)